By the open by default list, do you mean this?:

I think it can only be other apps that go here. Or, if you mean have a manually typed link open an app then there are apps that do that. Not tried this though.

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Then no, unless I'm not understanding. Only apps can be in that dialog, and you can't have it open a certain web page like on Windows or other OSes if that's what you're asking.

I mean this screen.

It's especially annoying with self hosted Jitsi instances, which the devs will never add in the integrated URL lists...

I believe this can only be configured by app developers. Users generally cannot add their own.

See: https://github.com/jitsi/jitsi-meet/issues/5199

You pinged the project account so another team member can correct me if I am wrong.

Yeah, that's what I thought, reasonable, but annoying for self hosted instances.

Is changes like this part of the scope of graphene?